He discovered a way of interpreting quantum states as information. He came up with a way of compressing the information in a state, and storing the information in a smaller number of states. This is now known as Schumacher compression. This was the quantum analog of Shannon's noiseless coding theorem, and it helped to start the field known as quantum information theory.

He is the author of Physics in Spacetime,[1] a textbook on Special Relativity, and Quantum Processes, Systems, and Information (with Michael Westmoreland), a textbook on Quantum Mechanics. Schumacher is a professor of physics at Kenyon College, a liberal arts college in rural Ohio. He is the lecturer in four courses produced by the Teaching Company: Black Holes, Tides, and Curved Spacetime: Understanding Gravity; Quantum Mechanics: The Physics of the Microscopic World; Impossible: Physics Beyond the Edge; and The Science of Information: From Language to Black Holes.[5]